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In the rectangular prism below, the length of MR is 9 feet, the length of RS is 12 feet, and the length of ST is 5 feet. What is the length of the line segment drawn from point T to point M?
*Note: Figure not drawn to scale.
a
16 feet

b
5√10 feet

c
250 feet

d
5√5 feet

In the rectangular prism below the length of MR is 9 feet the length of RS is 12 feet and the length of ST is 5 feet What is the length of the line segment draw class=

Respuesta :

Answer:

[tex]5\sqrt{10}[/tex] feet

Step-by-step explanation:

Find RT:

RS = 12 and ST= 5, RT =?

Use the Pythagorean Theorem

[tex]12^{2} + 5^{2} = RT^{2}[/tex]

[tex]144 + 25 = RT^{2}[/tex]

[tex]\sqrt{169} =RT[/tex]

13 = RT

Find MT:

RT = 13 and MR= 9, MT=?

[tex]13^{2} +9^{2}= MT^{2}[/tex]

[tex]169 + 81 = MT^{2}[/tex]

[tex]\sqrt{250} = MT[/tex]

[tex]5\sqrt{10}[/tex] = MT

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